Question

a building with a height of 32m casts a shadow that is 20m long. a person standing casts a shadow that is 1.2 m long how tall is the person

Answer 1

Given:
Building's actual height 32 meters
Building's shadow height 20 meters
Person's shadow height 1.2 meters
Person's actual height = ?

Find the person's actual height:

This is a proportion problem.
Actual height to shadow height

Building = Person
32 : 20 = x : 1.2

32 * 1.2 = 20 * x
38.4 = 20x
38.4/20 = 20x/20
1.92 = x

The person's actual height is 1.92 meters long.

32 : 20 = 1.92 : 1.2

32/20 = 1.60
1.92/1.2 = 1.60